Ph.D. Students

       Current Ph.D. Students: Erol Barut, Rafael Fernandes.

  • John Pelias, Ph.D. 2024, UCSC, Thesis title: Barcode Entropy for Symplectomorphisms Isotopic to the Identity. PDF file of Pelias’ thesis
  • Mita Banik, Ph.D. 2022, UCSC. Thesis title: Interplay Between Floer Homology and Hamiltonian Dynamics. PDF file of Banik’s thesis
  • Erman Cineli, Ph.D. 2021, UCSC. Thesis title: Pseudo-rotations and Symplectic Topology. PDF file of Cineli’s thesis
  • Elijah Fender, Ph.D. 2021, UCSC. Thesis title: Two Perspectives on the Local Symplectic Homology of Closed Reeb Orbits. PDF file of Fender’s thesis
  • Matthew Grace, Ph.D. 2020, UCSC. Thesis title: On an Extension of the Mean Index to the Lagrangian Grassmannian. PDF file of Grace’s thesis
  • Jeongmin Shon, Ph.D. 2018, UCSC. Thesis title: Filtered Symplectic Homology of Prequantization Bundles and the Contact Conley Conjecture. PDF file of Shon’s thesis
  • Yusuf Goren, Ph.D. 2015, UCSC. Thesis title: Counting Periodic Orbits: Conley Conjecture for Lagrangian Correspondences and Resonance Relations for Closed Reeb Orbits. PDF file of Goren’s thesis
  • Marta Batoreo, Ph.D. 2013, UCSC. Thesis title: Coisotropic Symplectic Topology and Periodic Orbits in Symplectic Dynamics
  • Doris Hein, Ph.D. 2012, UCSC. Thesis title: Variations on the Theme of the Conley Conjecture.
  • Jacqui Espina, Ph.D. 2011, UCSC. Thesis title: The Mean Euler Characterstic of Contact Structures.
  • Cesar Niche, Ph.D. 2006, UCSC. Thesis title: On the Topological Entropy and Periodic Orbits of Optical and Magnetic Flows.
  • Basak Gurel, Ph.D. 2003, UCSC. Thesis title: Relative Almost Existence Theorem and the Hamiltonian Seifert Conjecture.
  • Ely Kerman, Ph.D. 2000, UCSC. Thesis title: Symplectic Geometry and the Motion of a Particle in a Magnetic Field.
  • Junko Hoshi, Ph.D. 1999, UCSC. Thesis title: Poisson Cohomology and Secondary Invariants of the Poisson Structure {x,y}=(x2+y2)s.
  • Cesar Castilho, Ph.D. 1998, UCSC; co-advised with R. Montgomery. Thesis title: The motion of a charged particle on a Riemannian surface under a non-zero magnetic field.
  • Alexander Golubev, Ph.D. 1998, UCSC; co-advised with R. Montgomery. Thesis title: Engel Structures.